1145779200 has 198 divisors, whose sum is σ = 4103256534. Its totient is φ = 305479680.

The previous prime is 1145779177. The next prime is 1145779213. The reversal of 1145779200 is 29775411.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 117679104 + 1028100096 = 10848^2 + 32064^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 227914 + ... + 232886.

Almost surely, 2^1145779200 is an apocalyptic number.

1145779200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051628267).

1145779200 is an abundant number, since it is smaller than the sum of its proper divisors (2957477334).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1145779200 is a wasteful number, since it uses less digits than its factorization.

1145779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5009 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 1145779200 is about 33849.3604075468. The cubic root of 1145779200 is about 1046.4062171726.

The spelling of 1145779200 in words is "one billion, one hundred forty-five million, seven hundred seventy-nine thousand, two hundred".